β Scribed by John R. Clay; Narendra S. Goel
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We describe a general diffusion model for analyzing the efficacy of individual synaptic inputs to threshold neurons. A formal expression is obtained for the system propagator which, when given an arbitrary initial state for the cell, yields the conditional probability distribution for the state at a
This paper develops and uses comparison principles to study the time evolution of solutions to problems of the form (formula; see text) Such a system models an infinite myelinated axon with discrete, excitable nodes spaced unit distant apart.
## Abstract In this paper a reactionβdiffusion model describing two interacting pioneer and climax species is considered. The role of diffusivity and forcing (stocking or harvesting of the species) on the nonlinear stability of a coexistence equilibrium is analysed. The study is performed in the co
This paper studies a class of time-delay reactionαdiffusion systems modeling the dynamics of single or interacting populations. In the logistic equation, we prove that when the magnitude of the instantaneous term is larger than that of the delay terms, the population growth u has the same asymptotic